erweitern (ae-bd)^2+(af-cd)^2+(bf-ce)^2

Lösung

erweitern

(a e - b d)^{2} + (a f - c d)^{2} + (b f - ce)^{2}

e^{2} a^{2} - 2 e ab d + b^{2} d^{2} + a^{2} f^{2} - 2 a df c + d^{2} c^{2} + b^{2} f^{2} - 2 e b f c + e^{2} c^{2}

Schritte zur Lösung

(a e - b d)^{2} + (a f - c d)^{2} + (b f - ce)^{2}

= (e a - b d)^{2} + (a f - d c)^{2} + (b f - ec)^{2}

(a e - b d)^{2} : e^{2} a^{2} - 2 e ab d + b^{2} d^{2}

= e^{2} a^{2} - 2 e ab d + b^{2} d^{2} + (a f - c d)^{2} + (b f - ce)^{2}

(a f - c d)^{2} : a^{2} f^{2} - 2 a df c + d^{2} c^{2}

= e^{2} a^{2} - 2 e ab d + b^{2} d^{2} + a^{2} f^{2} - 2 a df c + d^{2} c^{2} + (b f - ce)^{2}

(b f - ce)^{2} : b^{2} f^{2} - 2 e b f c + e^{2} c^{2}

= e^{2} a^{2} - 2 e ab d + b^{2} d^{2} + a^{2} f^{2} - 2 a df c + d^{2} c^{2} + b^{2} f^{2} - 2 e b f c + e^{2} c^{2}

e x p an d (A + B = 2,) (- 2 A + C = 3)

e x p an d \frac{5 ( 3 b ^{2} + 4 b - 6 )}{4}

s im pl i f y (x - x - 1)^{2}

s im pl i f y (x - 13)^{2}

e x p an d (x y - x) d x - (x^{2} + 1) d y